Chapter 1.1, Problem 44E

To determine

The new vertices of polygon.

Answer to Problem 44E

Translated points will be $\left(-5,2\right),\left(-7,0\right),\left(-3,0\right),\left(-5,-4\right)$

Explanation of Solution

Given :

Original points are given as;

  $\left(5,8\right),\left(3,6\right),\left(7,6\right),\left(5,2\right)$

As the vertices are shifted 10 units lest therefore subtract 10 units from x coordinate to find translated point.

Also, as the vertices shifted 6 units downward so subtract 6 units from y coordinates to find translated point.

As the original point is (5,8)

Therefore, the translated point will be:

  $\left(5-10,8-6\right)=\left(-5,2\right)$

As the original point is (3,6)

Therefore, the translated point will be:

  $\left(3-10,6-6\right)=\left(-7,0\right)$

As the original point is (7,6).

Therefore, the translated point will be:

  $\left(7-10,6-6\right)=\left(-3,0\right)$

As the original point is (5,2)

Therefore, the translated point will be:

  $\left(5-10,2-6\right)=\left(-5,-4\right)$

So, the translated points will be:

  $\left(-5,2\right),\left(-7,0\right),\left(-3,0\right),\left(-5,-4\right)$